
The unit of length, velocity and force are doubled. Which of the following is the correct change in the other units?
A. Unit of time is doubled
B. Unit of mass is doubled
C. Unit of momentum is doubled
D. Unit of energy is doubled
Answer
431.3k+ views
7 likes
- Hint: To solve this problem, you have to write down the dimensions of the term and observe the change that happens when the units are doubled. Doing this is going to solve your problem.
Formula used – Velocity = Length on Time, Force = Mass x Acceleration, Momentum = Mass x Velocity.
Complete step-by-step solution -
The dimensions of velocity are .
The dimensions of the velocity are Since the length is doubled, there must be no change in time in the velocity to make it double.
The dimensions of force are .
The dimensions of the velocity are Since the length is doubled, there must be no change of time in the velocity to make it double.
The dimensions of momentum are .
As time and mass are constant and the length is doubled, the momentum will be doubled.
The dimensions of energy are .
As time and mass are constant and length is doubled, the momentum will be doubled.
Hence the correct option is C, momentum is doubled.
Note – It is very important to learn the formulas and units of the quantities like force, momentum, energy, acceleration, velocity and speed. Students should also need to know that force, momentum, acceleration and velocity are vector quantities which have a unique direction whereas others are scalar and are independent of direction.
Formula used – Velocity = Length on Time, Force = Mass x Acceleration, Momentum = Mass x Velocity.
Complete step-by-step solution -
The dimensions of velocity are
The dimensions of the velocity are Since the length is doubled, there must be no change in time in the velocity to make it double.
The dimensions of force are
The dimensions of the velocity are Since the length is doubled, there must be no change of time in the velocity to make it double.
The dimensions of momentum are
As time and mass are constant and the length is doubled, the momentum will be doubled.
The dimensions of energy are
As time and mass are constant and length is doubled, the momentum will be doubled.
Hence the correct option is C, momentum is doubled.
Note – It is very important to learn the formulas and units of the quantities like force, momentum, energy, acceleration, velocity and speed. Students should also need to know that force, momentum, acceleration and velocity are vector quantities which have a unique direction whereas others are scalar and are independent of direction.
Recently Updated Pages
Express the following as a fraction and simplify a class 7 maths CBSE

The length and width of a rectangle are in ratio of class 7 maths CBSE

The ratio of the income to the expenditure of a family class 7 maths CBSE

How do you write 025 million in scientific notatio class 7 maths CBSE

How do you convert 295 meters per second to kilometers class 7 maths CBSE

Write the following in Roman numerals 25819 class 7 maths CBSE

Trending doubts
State and prove Bernoullis theorem class 11 physics CBSE

What are Quantum numbers Explain the quantum number class 11 chemistry CBSE

Write the differences between monocot plants and dicot class 11 biology CBSE

Who built the Grand Trunk Road AChandragupta Maurya class 11 social science CBSE

1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

State the laws of reflection of light
